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Finding the Fourth Proportional to 9,556.41, 14,305.44 and 7,085.10

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Solution

The fourth proportional to 9,556.41, 14,305.44 and 7,085.10 is: 10,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.41 : 14,305.44 = 7,085.10 : x
  2. Step 2: Convert to fraction form
    9,556.41/14,305.44 = 7,085.10/x
  3. Step 3: Cross multiply
    9,556.41x = 14,305.44 × 7,085.10
  4. Step 4: Simplify right side
    9,556.41x = 101,355,472.94
  5. Step 5: Solve for x
    x = 101,355,472.94/9,556.41
  6. Step 6: Final answer
    x = 10,606.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.